34000285761 has 32 divisors (see below), whose sum is σ = 54275661440. Its totient is φ = 20911608000.

The previous prime is 34000285723. The next prime is 34000285769. The reversal of 34000285761 is 16758200043.

It is not a de Polignac number, because 34000285761 - 2¹⁷ = 34000154689 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (34000285769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 627186 + ... + 679236.

It is an arithmetic number, because the mean of its divisors is an integer number (1696114420).

Almost surely, 2^34000285761 is an apocalyptic number.

It is an amenable number.

34000285761 is a deficient number, since it is larger than the sum of its proper divisors (20275375679).

34000285761 is a wasteful number, since it uses less digits than its factorization.

34000285761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53934 (or 53928 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 34000285761 in words is "thirty-four billion, two hundred eighty-five thousand, seven hundred sixty-one".